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Zonotopes: From Guaranteed State-estimation to Con trol (Hardcover)
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Zonotopes: From Guaranteed State-estimation to Con trol (Hardcover)
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This title focuses on two significant problems in the field of
automatic control, in particular state estimation and robust Model
Predictive Control under input and state constraints, bounded
disturbances and measurement noises. The authors build upon
previous results concerning zonotopic set-membership state
estimation and output feedback tube-based Model Predictive Control.
Various existing zonotopic set-membership estimation methods are
investigated and their advantages and drawbacks are discussed,
making this book suitable both for researchers working in automatic
control and industrial partners interested in applying the proposed
techniques to real systems. The authors proceed to focus on a new
method based on the minimization of the P-radius of a zonotope, in
order to obtain a good trade-off between the complexity and the
accuracy of the estimation. They propose a P-radius based
set-membership estimation method to compute a zonotope containing
the real states of a system, which are consistent with the
disturbances and measurement noise. The problem of output feedback
control using a zonotopic set-membership estimation is also
explored. Among the approaches from existing literature on the
subject, the implementation of robust predictive techniques based
on tubes of trajectories is developed. Contents 1. Uncertainty
Representation Based on Set Theory. 2. Several Approaches on
Zonotopic Guaranteed Set-Membership Estimation. 3. Zonotopic
Guaranteed State Estimation Based on P-Radius Minimization. 4. Tube
Model Predictive Control Based on Zonotopic Set-Membership
Estimation. About the Authors Vu Tuan Hieu Le is a Research
Engineer at the IRSEEM/ESIGELEC Technopole du Madrillet, Saint
Etienne du Rouvray, France. Cristina Stoica is Assistant Professor
in the Automatic Control Department at SUPELEC Systems Sciences
(E3S), France. Teodoro Alamo is Professor in the Department of
Systems Engineering and Automatic Control at the University of
Seville, Spain. Eduardo F. Camacho is Professor in the Department
of Systems Engineering and Automatic Control at the University of
Seville, Spain. Didier Dumur is Professor in the Automatic Control
Department, SUPELEC Systems Sciences (E3S), France.
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